Nonconservative hyperbolic systems in fluid mechanics

Nonconservative hyperbolic systems in fluid mechanics

This paper is devoted to the numerical approximation of nonconservative hyperbolic systems. More precisely, we consider the bitemperature Euler system and we propose two methods of discretization. The first one is a kinetic approach based on an underlying kinetic model. The second one deals with a S...

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Main Authors: Aregba-Driollet Denise, Brull Stéphane, Lhébrard Xavier
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:ESAIM: Proceedings and Surveys
Online Access:https://doi.org/10.1051/proc/201864001
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spelling doaj-4a5ab16e60e94186baa0e5a2e9c0ee212021-07-15T14:17:43ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592018-01-016411610.1051/proc/201864001proc186401Nonconservative hyperbolic systems in fluid mechanicsAregba-Driollet DeniseBrull StéphaneLhébrard XavierThis paper is devoted to the numerical approximation of nonconservative hyperbolic systems. More precisely, we consider the bitemperature Euler system and we propose two methods of discretization. The first one is a kinetic approach based on an underlying kinetic model. The second one deals with a Suliciu approach when magnetic fields are taken into account.https://doi.org/10.1051/proc/201864001
collection DOAJ
language English
format Article
sources DOAJ
author Aregba-Driollet Denise
Brull Stéphane
Lhébrard Xavier
spellingShingle Aregba-Driollet Denise
Brull Stéphane
Lhébrard Xavier
Nonconservative hyperbolic systems in fluid mechanics
ESAIM: Proceedings and Surveys
author_facet Aregba-Driollet Denise
Brull Stéphane
Lhébrard Xavier
author_sort Aregba-Driollet Denise
title Nonconservative hyperbolic systems in fluid mechanics
title_short Nonconservative hyperbolic systems in fluid mechanics
title_full Nonconservative hyperbolic systems in fluid mechanics
title_fullStr Nonconservative hyperbolic systems in fluid mechanics
title_full_unstemmed Nonconservative hyperbolic systems in fluid mechanics
title_sort nonconservative hyperbolic systems in fluid mechanics
publisher EDP Sciences
series ESAIM: Proceedings and Surveys
issn 2267-3059
publishDate 2018-01-01
description This paper is devoted to the numerical approximation of nonconservative hyperbolic systems. More precisely, we consider the bitemperature Euler system and we propose two methods of discretization. The first one is a kinetic approach based on an underlying kinetic model. The second one deals with a Suliciu approach when magnetic fields are taken into account.
url https://doi.org/10.1051/proc/201864001
work_keys_str_mv AT aregbadriolletdenise nonconservativehyperbolicsystemsinfluidmechanics
AT brullstephane nonconservativehyperbolicsystemsinfluidmechanics
AT lhebrardxavier nonconservativehyperbolicsystemsinfluidmechanics
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